Evaluate log6 base 10+ log45 base 10 - log27 base 10

Answers

Answer 1

Answer:

The correct answer is B.

Explanation:

log106 + log1045 - log1027

log10

6

×

45

27

= log102 x 5

log1010 = 1

Step-by-step explanation:

Answer 2

To solve the problem we must know about the properties of logarithms.

What are the Properties of logarithms?

There are four basic properties of logarithms:

[tex]\rm log_aU+ log_aV = log_a(UV)[/tex][tex]\rm log_aU - log_aV = log_a(\dfrac{U}{V})[/tex][tex]\rm log_aU^n = n\ log_aU[/tex][tex]\rm log_ab = \dfrac{log_xb}{log_xa}[/tex]

The solution to the problem is 1.

Given to us

[tex]\rm log_{10}6+log_{10}45 - log_{10}27[/tex]

Evaluation of the Logarithmic expression

To solve the problem we will use the [tex]\rm log_aU - log_aV = log_a(\dfrac{U}{V})[/tex] and [tex]\rm log_aU+ log_aV = log_a(UV)[/tex] properties of logarithms, thus the solution to the problem can be calculated as shown below,

[tex]\rm log_{10}6+log_{10}45 - log_{10}27[/tex]

[tex]=\rm {log_{10}(6\times 45)}-{log_{10}27}[/tex]

[tex]=\rm {log_{10}(\dfrac{6\times 45}{27})[/tex]

[tex]=\rm {log_{10}(\dfrac{6\times 45}{27})[/tex]

[tex]=\rm log_{10}10[/tex]

[tex]=1[/tex]

Hence, the solution to the problem is 1.

Learn more about Logarithmic:

https://brainly.com/question/7302008


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Answers

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Answers

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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